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Finding the Fourth Proportional to 2,612.94, 3,605.67 and 1,433.82

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Solution

The fourth proportional to 2,612.94, 3,605.67 and 1,433.82 is: 1,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.94 : 3,605.67 = 1,433.82 : x
  2. Step 2: Convert to fraction form
    2,612.94/3,605.67 = 1,433.82/x
  3. Step 3: Cross multiply
    2,612.94x = 3,605.67 × 1,433.82
  4. Step 4: Simplify right side
    2,612.94x = 5,169,881.76
  5. Step 5: Solve for x
    x = 5,169,881.76/2,612.94
  6. Step 6: Final answer
    x = 1,978.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.